Least-squares fit to a straight line when each variable contains all equal errors

Understand

The least squares fit to a straight line, when both variables are affected by all equal uncorrelated errors, leads to very simple results for both the estimated parameters and their standard errors, of widespread applicability.

• In this paper several formulas are derived, presenting a full set of results about the estimated parameters and their standard errors.
• All the results have been validated with extensive Monte Carlo simulations.
• The emphasis of the paper is on the calculation and properties of the best-fit parameters and their standard errors.